Constrained Nonlinear Regression

Notes
Output Created		04-FEB-2002 15:53:49
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss.sav
	Filter	WLA
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	70
Syntax		MODEL PROGRAM ED=1.46 GSD=1.023 EMIN=1.58 EMAX=3.53 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR bilirubi
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 3.477; ED >= -2; GSD <= 1.699; GSD >= .01; EMIN >= 0
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:00.06

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.3    55.04233980  1.46000000  1.02300000  1.58000000  3.53000000
     1.1    54.85964412  1.51163580  1.04030580  1.55367523  3.48412139
     2.1    54.54915014  1.66095459  1.09035018  1.65463988  3.52000951
     3.2    53.38217442  2.26821182  1.29387317  1.62260387  4.10289059
     4.1    53.01481144  2.07805015  1.69900000  1.48504446  4.26187430
     5.1    52.76840518  2.30767409  1.69900000  1.52655991  4.39138112
     6.1    52.66509760  2.55843688  1.69900000  1.57609825  4.60544317
     7.1    52.61477077  2.61117601  1.69900000  1.58058885  4.69685969
     8.1    52.55901921  2.71077819  1.69900000  1.58465616  4.88542818
     9.1    52.55055792  2.78927003  1.69900000  1.59577978  4.99598316
    10.1    52.54909528  2.80820011  1.69900000  1.59827258  5.03790511
    11.1    52.54900832  2.81783151  1.69900000  1.59910952  5.04997237
    12.1    52.54900606  2.81670643  1.69900000  1.59905540  5.04859852
    13.1    52.54900606  2.81672663  1.69900000  1.59905402  5.04863689

Run stopped after 13 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable BILIRUBI

  Source                 DF  Sum of Squares  Mean Square

  Regression              4      406.46099      101.61525
  Residual               66       52.54901         .79620
  Uncorrected Total      70      459.01000

  (Corrected Total)      69       90.08871

  R squared = 1 - Residual SS / Corrected SS =     .41670

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         2.816726628  2.800930488 -2.775511524  8.408964780
  GSD        1.699000000  1.814756785 -1.924278827  5.322278827
  EMIN       1.599054019   .265583413  1.068799626  2.129308412
  EMAX       5.048636886  4.442516437 -3.821133362 13.918407135

  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .9517    -.5129     .9952
  GSD          .9517    1.0000    -.6894     .9557
  EMIN        -.5129    -.6894    1.0000    -.5534
  EMAX         .9952     .9557    -.5534    1.0000

Constrained Nonlinear Regression

Notes
Output Created		04-FEB-2002 15:53:49
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss.sav
	Filter	WLB
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	63
Syntax		MODEL PROGRAM ED=1.67 GSD=0.232 EMIN=1.89 EMAX=88 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR bilirubi
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 3.477; ED >= -2; GSD <= 1.699; GSD >= .01; EMIN >= 0
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:00.05

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.4    99216.24909  1.67000000  .232000000  1.89000000  88.0000000
     1.1    148.9395805  1.72507175  .276709608  1.83239866  10.4276368
     2.2    147.9503989  1.73308560  .283215589  1.82401673  10.7740895
     3.2    147.8261480  1.72467290  .293970578  1.81016061  10.7678713
     4.2    146.7457228  1.72338318  .296153203  1.65030024  10.7663973
     5.1    144.0903334  1.74115599  .293966195  1.67158051  10.6946268
     6.1    133.8284272  1.83207254  .323927938  1.72911413  10.8112973
     7.1    128.4414503  1.89285859  .372407879  1.74427294  11.1771409
     8.1    123.2797832  1.93439152  .464315657  1.71150129  11.7125017
     9.1    121.9018132  1.95773269  .527553879  1.66798835  12.1095576
    10.1    121.7768514  1.96875359  .546088691  1.65254060  12.2629910
    11.1    121.7614386  1.97483544  .552049223  1.65006328  12.3282009
    12.1    121.7602648  1.97677296  .552845593  1.65095677  12.3433106
    13.1    121.7602061  1.97706720  .552697355  1.65152115  12.3441767
    14.1    121.7602043  1.97706029  .552619189  1.65163569  12.3437231

Run stopped after 14 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable BILIRUBI

  Source                 DF  Sum of Squares  Mean Square

  Regression              4     1909.75980      477.43995
  Residual               59      121.76020        2.06373
  Uncorrected Total      63     2031.52000

  (Corrected Total)      62      979.85714

  R squared = 1 - Residual SS / Corrected SS =     .87574

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         1.977060289   .095901424  1.785161982  2.168958596
  GSD         .552619189   .119210854   .314078821   .791159556
  EMIN       1.651635691   .244020018  1.163352763  2.139918620
  EMAX      12.343723072   .871916273 10.599022641 14.088423504

  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .5209     .1188     .7834
  GSD          .5209    1.0000    -.3165     .7128
  EMIN         .1188    -.3165    1.0000    -.1384
  EMAX         .7834     .7128    -.1384    1.0000

Constrained Nonlinear Regression

Notes
Output Created		04-FEB-2002 15:53:50
Comments		 
Input	Data	N:\YTO\TCDD\ABC kannat\SPSS\s242_abc_spss.sav
	Filter	WLC
	Weight	<none>
	Split File	<none>
	N of Rows in Working Data File	54
Syntax		MODEL PROGRAM ED=1.67 GSD=0.232 EMIN=1.89 EMAX=88 .
COMPUTE PRED_ = emin+(emax-emin)*(CDF.NORMAL(lg10(dose),ed,gsd)).
CNLR bilirubi
  /OUTFILE='C:\TEMP\spss194\SPSSFNLR.TMP'
  /PRED PRED_
  /BOUNDS ED <= 3.477; ED >= -2; GSD <= 1.699
; GSD >= .01; EMIN >= 0
  /CRITERIA STEPLIMIT 2 ISTEP 1E+20 .

Resources	Elapsed Time	0:00:00.08

All the derivatives will be calculated numerically.




  Iteration Residual SS          ED         GSD        EMIN        EMAX

     0.4    21959.71261  1.67000000  .232000000  1.89000000  88.0000000
     1.2    1094.512658  1.84620884  .375053887  1.70569745  22.2288135
     2.5    874.7297406  1.86974075  .394158100  3.76642882  24.4688012
     3.1    445.4084873  1.87214496  .589099856  3.20372904  37.4778951
     4.2    420.6354482  1.72376373  .637962456  3.06268705  31.0254091
     5.1    358.9943186  1.71108658  .636470468  1.85695644  30.6375846
     6.2    354.0042190  1.69748237  .664672382  1.72063048  31.3533829
     7.1    353.6254100  1.71127648  .659449066  1.73047789  31.9335795
     8.1    353.5599693  1.70865724  .659818038  1.66364178  31.8759659
     9.1    353.5056258  1.70832761  .659109775  1.68367412  31.8590253
    10.1    353.3830861  1.70543741  .656496937  1.71240436  31.7557801
    11.1    353.0379544  1.69367902  .647495421  1.76538368  31.3567989
    12.1    352.1247688  1.65686673  .621079758  1.85992011  30.1359774
    13.1    350.0553597  1.54713960  .542702471  2.04801804  26.5898546
    14.1    347.4533616  1.46791624  .469346200  2.14271866  24.3863661
    15.1    346.3416814  1.41325853  .378466598  2.08370387  23.5404982
    16.1    342.5974792  1.39630108  .381316340  2.00503608  22.5460003
    17.1    341.5486069  1.43396629  .420667083  1.93153164  23.4763638
    18.1    341.1052745  1.42822570  .407038046  1.89603572  23.3784854
    19.1    341.0713140  1.42476561  .401263547  1.88228526  23.2796218
    20.1    341.0708729  1.42437696  .400794349  1.88268422  23.2636867
    21.1    341.0708566  1.42431227  .400705950  1.88310386  23.2607115
    22.1    341.0708565  1.42431226  .400702144  1.88314284  23.2606837

Run stopped after 22 major iterations.
Optimal solution found.


Nonlinear Regression Summary Statistics     Dependent Variable BILIRUBI

  Source                 DF  Sum of Squares  Mean Square

  Regression              4     4218.03914     1054.50979
  Residual               50      341.07086        6.82142
  Uncorrected Total      54     4559.11000

  (Corrected Total)      53     2769.13204

  R squared = 1 - Residual SS / Corrected SS =     .87683

                                           Asymptotic 95 %
                          Asymptotic     Confidence Interval
  Parameter   Estimate    Std. Error     Lower         Upper

  ED         1.424312261   .090103383  1.243334289  1.605290232
  GSD         .400702144   .108942050   .181885596   .619518693
  EMIN       1.883142840   .450001988   .979287246  2.786998433
  EMAX      23.260683702  2.497844577 18.243615216 28.277752188




  Asymptotic Correlation Matrix of the Parameter Estimates

                  ED       GSD      EMIN      EMAX

  ED          1.0000     .6931     .0203     .8715
  GSD          .6931    1.0000    -.2809     .8108
  EMIN         .0203    -.2809    1.0000    -.1568
  EMAX         .8715     .8108    -.1568    1.0000

